Home
Class 12
MATHS
For |z-1|=1, show that tan{[a r g(z-1)]/...

For `|z-1|=1,` show that `tan{[a r g(z-1)]//2}-(2i//z)=-idot`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

For |z-1|=1, show that tan{(arg(z-1))/(2)}-((2i)/(z))=-i

For |z-1=1,i tan((arg(z-1))/(2))+(2)/(z) is

For |z-1|=1 , i tan(("arg"(z-1))/(2))+(2)/(z) is equal to ________

If |z-1|=1, where is a point on the argand plane, show that (z-2)/(z)=i tan (argz),where i=sqrt(-1).

Given that |z-1|=1, where z is a point on the argand planne , show that (z-2)/(z)=itan (arg z), where i=sqrt(-1).

If z_(1) and z_(2) are two compled numbers such that |backslash z_(1)|=|backslash z_(2)|+|z_(1)-z_(2)| show that Im ((z_(1))/(z_(2)))=0

If |z + 1| = 1(z_(1) ne - 1 ) and z_(2) =(z_(1)-1)/ (z_(1)-2) , then show that the real part of z_(2) is zero.

If z_(1)andz_(2) are two complex numbers such that |z_(1)|=|z_(2)| and arg(z_(1))+arg(z_(2))=pi, then show that z_(1),=-(z)_(2)

Show that if iz^(3)+z^(2)-z+i=0, then |z|=1